Higher-Point Correlators in N=4 SYM: Generating Functions

Abstract

We construct generating functions of five- and six-point correlators up to two loops at weak 't Hooft coupling in planar N=4 SYM. These generating functions unify the correlators of the lightest scalar operator in the stress-tensor multiplet with those of all higher R-charge single-trace half-BPS scalar operators, thereby extending previous results for four-point loop integrands. At the integrated level, they are represented as sums of conformal integrals with coefficients exhibiting ten-dimensional poles that combine spacetime and R-charge distances. Our results show that higher-order poles are captured by products of lower-point generating functions. We also extract new OPE data on spinning structure constants, and compare these to integrability-based computations, finding good agreement.

60 pages + data files. v2: typos fixed, hyperlinks added. v3: typos, glossary of anc files, published version

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Cited by in corpus (1)

• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons